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Finding the Fourth Proportional to 7,466.48, 11,195.93 and 4,178.69

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Solution

The fourth proportional to 7,466.48, 11,195.93 and 4,178.69 is: 6,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.48 : 11,195.93 = 4,178.69 : x
  2. Step 2: Convert to fraction form
    7,466.48/11,195.93 = 4,178.69/x
  3. Step 3: Cross multiply
    7,466.48x = 11,195.93 × 4,178.69
  4. Step 4: Simplify right side
    7,466.48x = 46,784,264.75
  5. Step 5: Solve for x
    x = 46,784,264.75/7,466.48
  6. Step 6: Final answer
    x = 6,265.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.